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Finding the Fourth Proportional to 176,375.76, 243,305.25 and 111,730.95

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Solution

The fourth proportional to 176,375.76, 243,305.25 and 111,730.95 is: 154,129.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,375.76 : 243,305.25 = 111,730.95 : x
  2. Step 2: Convert to fraction form
    176,375.76/243,305.25 = 111,730.95/x
  3. Step 3: Cross multiply
    176,375.76x = 243,305.25 × 111,730.95
  4. Step 4: Simplify right side
    176,375.76x = 27,184,726,722.49
  5. Step 5: Solve for x
    x = 27,184,726,722.49/176,375.76
  6. Step 6: Final answer
    x = 154,129.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.